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Finding the Third Proportional to 141,905,436 and 305,960,808

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Solution

The third proportional to 141,905,436 and 305,960,808 is: 659,678,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,905,436 : 305,960,808 = 305,960,808 : x
  2. Step 2: Convert to fraction form
    141,905,436/305,960,808 = 305,960,808/x
  3. Step 3: Cross multiply
    141,905,436x = 305,960,808 × 305,960,808
  4. Step 4: Simplify right side
    141,905,436x = 93,612,016,032,012,864
  5. Step 5: Solve for x
    x = 93,612,016,032,012,864/141,905,436
  6. Step 6: Final answer
    x = 659,678,858.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.